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Cottingham formula and nucleon polarisabilities

Gasser, Jürg ; Hoferichter, Martin ; Leutwyler, Heinrich ; Rusetsky, Akaki (2022):
Cottingham formula and nucleon polarisabilities. (Publisher's Version)
In: The European Physical Journal C, 75 (8), Springer, ISSN 1434-6044, e-ISSN 1434-6052,
DOI: 10.26083/tuprints-00012824,
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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: Cottingham formula and nucleon polarisabilities
Language: English
Abstract:

The difference between the electromagnetic selfenergies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections – provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

Journal or Publication Title: The European Physical Journal C
Journal volume: 75
Issue Number: 8
Publisher: Springer
Collation: 28 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 02 Mar 2022 09:41
Last Modified: 10 Mar 2022 09:40
DOI: 10.26083/tuprints-00012824
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-128244
Additional Information:

Link zum Erratum: urn:nbn:de:tuda-tuprints-208000

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12824
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